Resolving the (g − 2) μ discrepancy with F $$ \mathcal{F} $$ –SU(5) intersecting D-branes

Abstract

Abstract A discrepancy between the measured anomalous magnetic moment of the muon (g − 2) μ and computed Standard Model value now stands at a combined 4.2σ following experiments at Brookhaven National Lab (BNL) and the Fermi National Accelerator Laboratory (FNAL). A solution to the disagreement is uncovered in flipped SU(5) with additional TeV-Scale vector-like 10 + 10 ¯ $$ \overline{\mathbf{10}} $$ multiplets and charged singlet derived from local F-Theory, collectively referred to as F $$ \mathcal{F} $$ –SU(5). Here we engage general No-Scale supersymmetry (SUSY) breaking in F $$ \mathcal{F} $$ –SU(5) D-brane model building to alleviate the (g −2) μ tension between the Standard Model and observations. A robust ∆a μ (SUSY) is realized via mixing of M 5 and M 1X at the secondary SU(5) × U(1) X unification scale in F $$ \mathcal{F} $$ –SU(5) emanating from SU(5) breaking and U(1) X flux effects. Calculations unveil ∆a μ (SUSY) = 19.0–22.3 × 10 −10 for gluino masses of M( g ~ $$ \overset{\sim }{g} $$ )= 2.25–2.56 TeV and higgsino dark matter, aptly residing within the BNL+FNAL 1σ mean. This (g − 2) μ favorable region of the model space also generates the correct light Higgs boson mass and branching ratios of companion rare decay processes, and is further consistent with all LHC Run 2 constraints. Finally, we also examine the heavy SUSY Higgs boson in light of recent LHC searches for an extended Higgs sector.

Keywords

• Supersymmetry Phenomenology
• Strings and branes phenomenology